april, bill, candace and bobby are to be seated at random in a row of 6 chairs
To solve this problem, we need to find the number of ways to arrange the four people (April, Bill, Candace, and Bobby) in the row of six chairs.
We can approach this problem by using the concept of permutations. A permutation is an arrangement of objects in a specific order.
To find the number of ways to arrange the four people in the six chairs, we can use the formula for permutations. The formula for permutations is given by:
P(n, r) = n! / (n - r)!
Where n is the total number of objects and r is the number of objects to be arranged.
In this case, n = 6 (number of chairs) and r = 4 (number of people).
Plugging in the values, we get:
P(6, 4) = 6! / (6 - 4)!
= 6! / 2!
= (6 * 5 * 4 * 3 * 2 * 1) / (2 * 1)
= (720) / (2)
= 360
So, there are 360 different ways to arrange the four people (April, Bill, Candace, and Bobby) in the row of six chairs.